## GROUPS AND CATEGORIES

*Steve Awodey*

### in Category Theory

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198568612
- eISBN:
- 9780191717567
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568612.003.0004
- Subject:
- Mathematics, Algebra

This chapter focuses on some of the connections between groups and categories. It focuses on three different aspects of the relationship between categories and groups: groups in a category, the ... More

## Category Theory

*Steve Awodey*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198568612
- eISBN:
- 9780191717567
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568612.001.0001
- Subject:
- Mathematics, Algebra

This book is a text and reference book on Category Theory, a branch of abstract algebra. The book contains clear definitions of the essential concepts, which are illuminated with numerous accessible ... More

## Fourier-Mukai Transforms in Algebraic Geometry

*D. Huybrechts*

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199296866
- eISBN:
- 9780191711329
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199296866.001.0001
- Subject:
- Mathematics, Geometry / Topology

This book provides a systematic exposition of the theory of Fourier-Mukai transforms from an algebro-geometric point of view. Assuming a basic knowledge of algebraic geometry, the key aspect of this ... More

## Set Theory: Boolean-Valued Models and Independence Proofs

*John L. Bell*

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198568520
- eISBN:
- 9780191717581
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568520.001.0001
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This is the third edition of a well-known graduate textbook on Boolean-valued models of set theory. The aim of the first and second editions was to provide a systematic and adequately motivated ... More

## Understanding Figurative Language: From Metaphor to Idioms

*Sam Glucksberg*

- Published in print:
- 2001
- Published Online:
- January 2008
- ISBN:
- 9780195111095
- eISBN:
- 9780199872107
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195111095.001.0001
- Subject:
- Psychology, Cognitive Psychology

The book presents a comprehensive account of how people understand metaphors and idioms in everyday discourse. Traditionally, figurative language has been considered to be derived from and more ... More

## Conclusion and prospects

*Claude Hagège*

### in Adpositions

- Published in print:
- 2010
- Published Online:
- May 2010
- ISBN:
- 9780199575008
- eISBN:
- 9780191722578
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199575008.003.0006
- Subject:
- Linguistics, Syntax and Morphology

This concluding chapter begins with a review of discussions in the preceding chapters. It then discusses adpositions as morpholexical units shedding light on a theory of linguistic categories; ... More

## The Kantian Aesthetic: From Knowledge to the Avant-Garde

*Paul Crowther*

- Published in print:
- 2010
- Published Online:
- May 2010
- ISBN:
- 9780199579976
- eISBN:
- 9780191722615
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199579976.001.0001
- Subject:
- Philosophy, Aesthetics, History of Philosophy

This book explains the perceptual knowledge involved in aesthetic judgements. It does so by linking Kant's aesthetics to a critically upgraded account of his theory of knowledge. This upgraded theory ... More

## Risk

*Jonathan Wolff and Avner De-Shalit*

### in Disadvantage

- Published in print:
- 2007
- Published Online:
- May 2007
- ISBN:
- 9780199278268
- eISBN:
- 9780191707902
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199278268.003.0004
- Subject:
- Political Science, Political Theory

This chapter argues the importance of examining not only what functionings a person achieves, but also his or her prospect of securing and sustaining a level of functioning should he or she attempt ... More

## Language: A Biological Model

*Ruth Garrett Millikan*

- Published in print:
- 2005
- Published Online:
- February 2006
- ISBN:
- 9780199284764
- eISBN:
- 9780191603167
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0199284768.001.0001
- Subject:
- Philosophy, Philosophy of Language

Guiding the work of most linguists and philosophers of language today is the assumption that language is governed by rules. This volume presents a different way of viewing the partial regularities ... More

## The Evolution of the Rules of the Societal Games

*Masahiko Aoki*

### in Corporations in Evolving Diversity: Cognition, Governance, and Institutional Rules

- Published in print:
- 2010
- Published Online:
- May 2010
- ISBN:
- 9780199218530
- eISBN:
- 9780191711510
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199218530.003.0004
- Subject:
- Business and Management, Corporate Governance and Accountability, Strategy

Based on the recent development of epistemic game theory, this chapter attempts to resolve longstanding contested issues across social science disciplines about the nature and origin of institutions. ... More

## CATEGORIES OF DIAGRAMS

*Steve Awodey*

### in Category Theory

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198568612
- eISBN:
- 9780191717567
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198568612.003.0008
- Subject:
- Mathematics, Algebra

This chapter presents the proof for the Yoneda Lemma, which is probably the single most used result in category theory. It is interesting how often it comes up, especially in view of the fact that it ... More

## The Four-Category Ontology: A Metaphysical Foundation for Natural Science

*E. J. Lowe*

- Published in print:
- 2005
- Published Online:
- May 2006
- ISBN:
- 9780199254392
- eISBN:
- 9780191603600
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0199254397.001.0001
- Subject:
- Philosophy, Metaphysics/Epistemology

The four-category ontology is a metaphysical system recognizing two fundamental categorial distinctions — these being between the particular and the universal, and between the substantial and the ... More

## The Comparative Study of Social Mobility

*Richard Breen*

### in Social Mobility in Europe

- Published in print:
- 2004
- Published Online:
- November 2004
- ISBN:
- 9780199258451
- eISBN:
- 9780191601491
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0199258457.003.0001
- Subject:
- Political Science, European Union

Outlines the objectives and layout of the volume; discusses the main theories that have guided empirical research on intergenerational social mobility and the findings of this research; and explains ... More

## The Ideal Language Project and the Non‐discrete

*Henry Laycock*

### in Words without Objects: Semantics, Ontology, and Logic for Non-Singularity

- Published in print:
- 2006
- Published Online:
- May 2006
- ISBN:
- 9780199281718
- eISBN:
- 9780191603594
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0199281718.003.0006
- Subject:
- Philosophy, Philosophy of Language

The notion of an ‘ideal language’ or ‘concept-script’ is explicated and defended, and constraints upon formal systems imposed by the ideal of transparency are explored. It is argued that non-singular ... More

## Order in Multiplicity: Homonymy in the Philosophy of Aristotle

*Christopher Shields*

- Published in print:
- 2002
- Published Online:
- November 2003
- ISBN:
- 9780199253074
- eISBN:
- 9780191598401
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/0199253072.001.0001
- Subject:
- Philosophy, Ancient Philosophy

Aristotle regularly identifies philosophical and scientific concepts as homonymous; indeed, his preoccupation with homonymy influences his approach to many subjects and clearly structures his ... More

## CONSTRUCTIVE SET THEORIES AND THEIR CATEGORY-THEORETIC MODELS

*Alex Simpson*

### in From Sets and Types to Topology and Analysis: Towards practicable foundations for constructive mathematics

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198566519
- eISBN:
- 9780191713927
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566519.003.0003
- Subject:
- Mathematics, Logic / Computer Science / Mathematical Philosophy

This chapter advocates a pragmatic approach to constructive set theory, using axioms based solely on set-theoretic principles that are directly relevant to (constructive) mathematical practice. The ... More

## Why generalizations are learned

*Adele Goldberg*

### in Constructions at Work: The Nature of Generalization in Language

- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780199268511
- eISBN:
- 9780191708428
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199268511.003.0006
- Subject:
- Linguistics, Theoretical Linguistics

As many psychologists have emphasized, human categorization is generally driven by some functional pressure, typically the need to predict or infer certain properties on the basis of perceived ... More

## Mombasa, the Swahili, and the Making of the Mijikenda

*Justin Willis*

- Published in print:
- 1993
- Published Online:
- October 2011
- ISBN:
- 9780198203209
- eISBN:
- 9780191675782
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198203209.001.0001
- Subject:
- History, World Modern History

This is a history of the Kenyan city of Mombasa and its surrounding settlements from the mid-19th century to the height of colonial rule in the 1930s. The book places the island and town of Mombasa ... More

## Triangulated Categories

*D. Huybrechts*

### in Fourier-Mukai Transforms in Algebraic Geometry

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199296866
- eISBN:
- 9780191711329
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199296866.003.0001
- Subject:
- Mathematics, Geometry / Topology

Reviewing the basic notions of additive and abelian categories, left and right adjoint functors, and Serre functors, this chapter is mainly devoted to triangulated categories. In particular, criteria ... More

## Derived Categories: A Quick Tour

*D. Huybrechts*

### in Fourier-Mukai Transforms in Algebraic Geometry

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199296866
- eISBN:
- 9780191711329
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199296866.003.0002
- Subject:
- Mathematics, Geometry / Topology

This chapter briefly outlines the main steps in the construction of the derived category of an arbitrary abelian category. The homotopy category of complexes is considered as an intermediate step, ... More